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Finding the Fourth Proportional to 215,209.20, 322,716.60 and 96,819.60

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Solution

The fourth proportional to 215,209.20, 322,716.60 and 96,819.60 is: 145,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,209.20 : 322,716.60 = 96,819.60 : x
  2. Step 2: Convert to fraction form
    215,209.20/322,716.60 = 96,819.60/x
  3. Step 3: Cross multiply
    215,209.20x = 322,716.60 × 96,819.60
  4. Step 4: Simplify right side
    215,209.20x = 31,245,292,125.36
  5. Step 5: Solve for x
    x = 31,245,292,125.36/215,209.20
  6. Step 6: Final answer
    x = 145,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.